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06 December 2010 @ 06:44 pm
Hyberbolic Plane, Negative Curvature 3:4  
This is basically the same as my last crochet effort, except a bit frillier, but I was experimenting with the knit-purl version of crotcheting.







This entry was originally posted at http://purplecat.dreamwidth.org/27876.html.
 
 
 
lukadreaminglukadreaming on December 6th, 2010 07:36 pm (UTC)
You can explain hyperbolic planes next time we meet *g*.
wellinghallwellinghall on December 6th, 2010 07:51 pm (UTC)
Probably better than I can. The amount I remember from my maths degree is a constant source of embarrassment to me.
louisedennis: mathematicslouisedennis on December 6th, 2010 07:55 pm (UTC)
It's a frill, or at least a frill that is getting larger in a uniform fashion rather than being gathered at the top.
lukadreaminglukadreaming on December 6th, 2010 07:59 pm (UTC)
Louise has already embarked on the maths for bunny-wunnies explanations for those of us with Eng Lit degrees and grade C maths O Levels from the dark ages *g*.

I now know what positive and negative curvature is *g*.
louisedennislouisedennis on December 6th, 2010 07:54 pm (UTC)
`hyperbolic plane' is a fancy name for a frill. Playing with lines on hyperbolic planes gets a bit technical but just what one is, is a frill.
lukadreaminglukadreaming on December 6th, 2010 08:00 pm (UTC)
*Squirrels latest bit of info away*

How do they relate, then, to the lines that don't meet? (And explain next time you see me if that's easier!)
louisedennis: mathematicslouisedennis on December 6th, 2010 08:05 pm (UTC)
Well if you draw two "straight" lines on a hyperbolic plane which don't meet, they don't stay a uniform distance apart like "sensible" straight lines ought to.

I've put "straight" in quotes because they are straight lines as far as the frilly surface is concerned but you'd look at them and say "these lines are obviously curves". I'm trying to crotchet up a fairly large plane for you and then I'll put some "straight" lines on it and try to explain a bit better - like why I feel justified in asserting that the frill thinks an obviously curved line is straight.
lukadreaminglukadreaming on December 6th, 2010 09:34 pm (UTC)
Got it. I think *g*.